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arXiv · 2311.17899

SYZ mirror symmetry of solvmanifolds

Lucio Bedulli·Alessandro Vannini
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Abstract

We present an effective construction of non-Kaehler supersymmetric mirror pairs in the sense of Lau,Tseng and Yau starting from left-invariant affine structures on Lie groups. Applying this construction we explicitly find SYZ mirror symmetric partners of all known compact 6-dimensional completely solvable solvmanifolds that admit a semi-flat type IIA structure.

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Lucio Bedulli, Alessandro Vannini. 2023-11-29. SYZ mirror symmetry of solvmanifolds. https://doi.org/10.1007/s10231-024-01487-3

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